Quantum information processing system

ABSTRACT

A building block for a quantum information processing system includes a superconducting qubit having a Josephson junction connected between two superconducting electrodes. The two superconducting electrodes are coaxial and coplanar. The building block also includes a control line coupled to the superconducting qubit and arranged to control the state of the superconducting qubit, and/or a readout element coupled to the superconducting qubit and arranged to measure the state of the superconducting qubit. The control line and/or the readout element are arranged out of plane with respect to the two superconducting electrodes.

This application is a continuation of U.S. patent application Ser. No.15/749,463 filed on Jan. 31, 2018 and subsequently issuing as U.S. Pat.No. 10,380,495 on Aug. 13, 2019, which is a 35 U.S.C. § 371 nationalphase filing of International Application No. PCT/GB2016/052350 filed onJul. 29, 2016, and claims the benefit of United Kingdom PatentApplication No. 1513774.8 filed on Aug. 4, 2015. The entire disclosuresof the foregoing applications and patent are hereby incorporated byreference herein, in their respective entireties.

This invention relates to quantum information processing systems andbuilding blocks for such systems, in particular to superconductingbuilding blocks for quantum information processing systems.

In a superconducting circuit implementation of a quantum computer, thebase unit of quantum computing, a qubit (quantum bit), can beimplemented physically in a number of different ways. Typically, one ormore Josephson junctions are combined with capacitors and/or inductors,to form a high quality anharmonic circuit, the lowest quantised energylevels of which are used as the qubit. For example, a commonlyimplemented and successful design, known as a charge qubit or transmon,consists in its simplest form of a single Josephson junction in parallelwith a capacitor. The two electrodes of the qubit can be arranged in anumber of ways; examples include arranging the electrodes collinearly ina geometry reminiscent of a dipole antenna, or using interdigitatedcapacitors, or with one electrode in a cross shape, and the otherrealised as a common ground plane. Control and measurement circuitry istypically implemented using planar circuitry integrated on-chip with thequbits, and/or using 3D electromagnetic waveguides and cavities, inwhich the qubit chips are embedded.

An important consideration in the design of a quantum informationprocessing system is to maximise the coherence time of the qubits (thelifetime of the fragile quantum states of the qubits that must bepreserved to carry out the quantum computations). This requires a highlevel of control of the electromagnetic environment of the qubits, whichneeds to be engineered such that the qubits cannot easily leak theirquantum information into it. A commonly implemented approach to achievethis environmental control is to embed the qubits within, or stronglycouple them to, high quality electromagnetic resonators, either on-chipor in 3D, with resonant frequencies that are different from the qubitfrequencies, thus preventing this energy leakage due to the inability ofthe environment to accept energy at the qubit frequencies. Thisapproach, known as circuit quantum electrodynamics, also provides aconvenient method of measurement of the quantum states of the qubits,since the resonators experience measurable frequency shifts when thequbits change their quantum states.

The macroscopic size of superconducting qubits makes it easy to couplecontrol signals to the qubit, enabling fast operations to be performedrelatively easy. However, a linear arrangement of the superconductingelectrodes of a qubit typically means that it couples strongly to theenvironment, particularly to electromagnetic fields that are homogeneouson the size scale of the qubit, which are often present in theenvironment. The result of this is that the coherence time of thequantum superposition state of the qubit, which is desired to be as longas possible in order to be able to perform quantum computations usingthe qubit, is reduced. This is because it is easy for the qubit toradiate energy when it is coupled to an electromagnetic field.

In order to perform any useful quantum computing, it is necessary toimplement an architecture consisting of a large number of qubits, withcouplings between them as well as wiring to enable control and readoutof all (or a key subset) of the qubits. However, if such an architectureis implemented using in-plane couplings, and control and readout wiring,e.g. on the surface of a fabricated chip or circuit board, it becomesincreasingly difficult with size to spatially accommodate the necessarywiring. This is because of the fundamental fact that the edges of atwo-dimensional array of N qubits scales as the square root of N suchthat, for example, for a square arrange of M qubits by M qubits (N=M²qubits in total), control and readout lines of order M² need to bethreaded through the edges (between the 4M edge qubits). This may hinderthe implementation of a quantum computer of a practically useful scalehaving a 2D array of qubits.

This invention aims to provide an improved and scalable architecture forquantum computing systems.

When viewed from a first aspect the invention provides a building blockfor a quantum information processing system comprising:

a. a superconducting qubit comprising a Josephson junction connectedbetween two superconducting electrodes, wherein the two superconductingelectrodes are coaxial and coplanar;b. a control line coupled to the superconducting qubit and arranged tocontrol the state of the superconducting qubit; and/orc. a readout element coupled to the superconducting qubit and arrangedto measure the state of the superconducting qubit;d. wherein the control line and/or the readout element are arranged outof plane with respect to the two superconducting electrodes.

When viewed from a second aspect the invention provides a quantuminformation processing system comprising a plurality of building blocksas recited in the first aspect of the invention;

a. wherein at least some (and preferably all) of the superconductingqubits in the plurality of building blocks are coupled to one or more ofthe other of the superconducting qubits in the plurality of buildingblocks.

The present invention relates to a quantum information processing systemin which a superconducting qubit is provided as a basic building block.The superconducting qubit is formed from a Josephson junction connectedbetween two coaxial and coplanar superconducting electrodes, i.e. theweak link of the Josephson junction, e.g. a barrier of insulatingmaterial, is provided between the two coaxial and coplanarsuperconducting electrodes. The Josephson junction combined with thecapacitance between these electrodes implements a charge qubit, orTransmon (in the case that the Josephson energy is much larger than thecharging energy associated with the capacitance).

Coupled to the superconducting qubit is preferably a control line whichis arranged to control the quantum state of the individual qubit, e.g.by exposing the qubit to a microwave pulse of controlled amplitude andphase. This control line may also be used in the implementation ofmulti-qubit operations in a multi-qubit system, e.g. as outlined in thesecond aspect of the invention. Also preferably coupled to thesuperconducting qubit is a readout element which is arranged to measurethe quantum state of the superconducting qubit, e.g. during or afterquantum computations, in the implementation of quantum algorithms, or tolearn the result of a quantum computation. The control line and/or thereadout element are arranged out of plane with respect to the plane ofthe two superconducting electrodes of the qubit, i.e. these elements areprovided at a position which does not lie in the same plane as that twosuperconducting electrodes.

The invention also extends to a quantum information processing systemwhich includes multiple building blocks, with each building block beingcoupled, i.e. electromagnetically, to at least one of the other buildingblocks in the system.

The Applicant has recognised that by providing a building block for aquantum information processing system in which the superconducting qubithas coaxial electrodes, this helps to significantly reduce theelectromagnetic coupling of the qubit to uniform electromagnetic fieldscompared to a qubit having a linear geometry, because the electrodes ofthe qubit do not lie along a single direction, i.e. they are coaxial,e.g. having a circular symmetry. The qubit may couple to electromagneticfields having a coaxial components or a substantial field gradient atthe location of the qubit; however these fields are much less likely tobe naturally present in the qubit's environment. Thus the qubit isisolated effectively from the electromagnetic environment, helping toincrease the coherence time of the qubit.

Furthermore, because the far field radiation of a qubit with coaxialelectrodes decreases very rapidly at distances larger than the size ofthe qubit, the qubit couples only very weakly, if at all, to otherelectromagnetic objects in the system, e.g. other qubits, in addition tothe isolation from the electromagnetic environment as described above.This electromagnetic isolation again helps to increase the coherencetime of the qubit, as well as improving the practicality of a building alarge-scale multi-qubit system. This compares to a conventional qubitwith a linear configuration that typically has a large dipole moment andprovides a far more significant electromagnetic field at large distancesfrom the qubit.

The Applicant has also recognised that by providing a building block fora quantum information processing system in which the control and readoutelements are arranged out of plane with respect to the plane of the twosuperconducting electrodes of the qubit, the topology of a quantuminformation processing system comprising a plurality of building blocksis able to scale in the same way as the number of building blocks. Thisis because although a plurality of couplings are provided to the qubit,as the control and readout elements are arranged out of plane withrespect to the electrodes of the qubit they do not require any space tobe provided for them in the plane of the electrodes. It will beappreciated that the same is not possible for conventional quantumcomputing systems, e.g. implemented using in-plane geometry, as all ofthe components and connections have to be provided in the same plane,which becomes increasingly difficult as the system has more than a fewqubits.

The two superconducting electrodes of the qubit may be arranged in anysuitable and desired coaxial and coplanar configuration. In a preferredembodiment the two superconducting electrodes of the qubit are radiallysymmetric, i.e. circular. This configuration of the two electrodes evenfurther helps to reduce the electromagnetic coupling of the qubit to theenvironment, because there is no direction in the plane of theelectrodes in which the electrodes are oriented more than otherdirections. The outer of the two coaxial superconducting electrodes maycomprise a ground plane, e.g. shared with other qubits when the systemcomprises a plurality of qubits.

The superconducting electrodes may be continuous, e.g. in a circle.However in one embodiment the outer of the two electrodes isdiscontinuous, e.g. at a (single) point. Thus there may be a small gapin the outer ring electrode of the qubit. This helps to preventpersistent circulating currents and trapped magnetic flux between thetwo superconducting electrodes.

The qubit may be formed in any suitable and desired manner. In apreferred embodiment the qubit, i.e. including the two superconductingelectrodes and the weak link, is formed using micro-fabrication of lowloss superconducting materials, such as aluminium, on a low lossdielectric substrate, such as sapphire or silicon.

In one embodiment the qubit is arranged to be frequency tuneable, e.g.by incorporating two Josephson junctions connected in parallel betweenthe two superconducting electrodes and an out-of-plane control line thatcontrols the magnetic flux which threads the gaps enclosed by thesuperconducting electrodes and the Josephson junctions. This embodimentenables implementation of control operations that require frequencytuneable qubits.

The control line of the building block may be provided in any suitableand desired manner. In a preferred embodiment the control line isarranged coaxially with the two superconducting electrodes of the qubit.Additionally or alternatively the control line comprises a coaxialcable, e.g. having a geometry matching or similar to the coaxialelectrodes of the qubit. This arrangement enables the control line to becoupled to the qubit in a straightforward manner and to control a singlequbit highly selectively from a plurality of qubits in a multi-qubitsystem.

In another embodiment the control line comprises a magnetic flux controlline. Such a magnetic flux control line preferably comprises a coaxialline with an electrically shorted end, wherein the coaxial line has acentral conductor connected to an outer ground conductor, e.g. in amanner that enables currents in the coaxial cable to produce a magneticflux in the nearby qubit. This allows the control line to control thefrequency of the qubit, e.g. in the embodiment in which the qubit isfrequency tuneable.

The control line is arranged to control the state of the qubit in anysuitable and desired manner. Preferably the control line is arranged toradiate the qubit with electromagnetic radiation, e.g. with microwaves.In a preferred embodiment the control line is arranged to apply a pulseof electromagnetic radiation (e.g. microwaves) to the qubit. The length,phase and/or amplitude of the pulse of electromagnetic radiation may bevaried to implement universal single qubit control. Thus preferably thecontrol line is arranged to provide universal control of the quantumstate of the qubit.

The readout element of the building block may be provided in anysuitable and desired manner. In a preferred embodiment the readoutelement comprises a, e.g. microwave, resonator coupled to thesuperconducting qubit, e.g. arranged coaxially with the twosuperconducting electrodes of the qubit. The microwave resonator maycomprise a lumped element microwave resonator, e.g. having the samegeometry as the qubit and only differing by the use of a linear inductorin place of the Josephson junction. Therefore, in a particularlypreferred embodiment, the two superconducting electrodes, the controlline and/or the readout element are arranged coaxially. Additionally oralternatively the readout element comprises a coaxial cable, e.g. havinga geometry matching or similar to the coaxial electrodes of the qubit.This arrangement enables the readout element to be coupled to the qubitin a straightforward manner and to perform highly selective measurementof a single qubit from a plurality of quits in a multi-qubit system.

The readout element is arranged to measure the state of the qubit in anysuitable and desired manner. In a preferred embodiment (when the readoutelement comprises a coaxial cable and microwave readout resonator), thecoaxial cable of the readout element is arranged to measure the responseof the readout microwave resonator (that is coupled to the qubit), e.g.at a certain frequency, from which the state of the qubit may beinferred.

In one embodiment of the building block, the control line and readoutelement may be formed as a single element, i.e. combined into the sameelement, preferably comprising a coaxial cable and a coaxial readoutresonator, which is arranged for both single qubit control andmeasurement, e.g. with the coaxial cable arranged behind the readoutresonator.

In the quantum information processing system, preferably each controlline and/or readout element is only coupled to a single qubit, i.e.preferably there is a one to one relationship between a qubit and itsassociated control line and/or readout element. The quantum informationprocessing system may be provided such that not all qubits have anassociated control line and/or readout element, e.g. to implement aparticular quantum computing architecture such as the surface code.

In the quantum information processing system, each of the plurality ofbuilding blocks can be coupled to one or more of the other of theplurality of building blocks in any suitable and desired manner. In apreferred embodiment one or more, and preferably all, of the pluralityof building blocks are coupled to the nearest other building block tothem. Coupling building blocks to their nearest neighbour(s) helps toprovide a simple scalable architecture which may be capable ofimplementing fault tolerant quantum computing schemes such as thesurface code.

Preferably the coupling comprises a capacitance between the outerelectrodes of adjacent qubits, e.g. whose capacitance can be adjusted bychanging the geometry and/or spacing of the qubit electrodes. Preferablythe quantum information processing system further comprises one or moreadditional superconducting qubits, which may be connected to one or moreof the building blocks in any suitable and desired way, such as viacapacitances between the outer electrodes of adjacent qubits. Forexample, the additional superconducting qubits may or may not beconnected to control lines and/or readout elements.

The plurality of building blocks in the quantum information processingsystem may be arranged in any suitable and desired way. In a preferredembodiment the building blocks are arranged in a, e.g. regular, array.The type of array may depend on the number of other building blocks towhich each building block may be desired to be coupled. For example thearray may comprise a square array (i.e. with the qubits arranged in rowsand columns), in which case each qubit may be coupled to up to fourother qubits (assuming, for example, that only nearest neighbourcouplings are used). In another embodiment the array may comprise atriangular array, in which case each qubit may be coupled to up to sixother qubits (assuming, for example, that only nearest neighbourcouplings are used). In another embodiment the array may comprise ahexagonal array, in which case each qubit may be coupled to up to threeother qubits (assuming, for example, that only nearest neighbourcouplings are used). Other geometries may be used as is suitable anddesired.

The plurality of qubits in the quantum information processing system maybe provided in a single plane, i.e. the plane of the superconductingelectrodes. However embodiments are also envisaged in which multipleplanes of qubits are provided, e.g. stacked on top of each other suchthat the planes of qubits are parallel.

The quantum information processing system may comprise any suitable anddesired number of qubits. In one embodiment the quantum informationprocessing system comprises 10 or more qubits, e.g. 20 or more qubits,e.g. 50 or more qubits, e.g. 100 or more qubits.

In one embodiment the quantum information processing system comprisesprocessing circuitry arranged to operate on one or more of the pluralityof qubits, e.g. to manipulate the state of the one or more qubits.Preferably the processing circuitry is arranged to implement one ormore, e.g. high fidelity single and two-qubit, quantum logic gatesthroughout the qubit array in the system. Also preferably the processingcircuitry is arranged to implement high fidelity single shot qubitmeasurement on at least a subset of the qubits in the array. Alsopreferably the processing circuitry is arranged to implement one or moreerror correction schemes, e.g. using feedback algorithms. This enablesthe quantum information processing system to perform useful quantumcomputations.

Embodiments of the invention will now be described, by way of exampleonly, with reference to the accompanying drawings, in which:

a. FIG. 1 shows a building block for use in a quantum informationprocessing system according to an embodiment of the present invention;b. FIG. 2 shows a group of the building blocks as shown in FIG. 1;c. FIGS. 3 and 4 show an array of the building blocks as shown in FIG.1; andd. FIG. 5 shows a building block for use in a quantum informationprocessing system according to a further embodiment of the invention.

FIG. 1 shows schematically a building block 1 for use in a quantuminformation processing system according to an embodiment of the presentinvention. The building block 1 includes a superconducting qubit 2having two superconducting electrodes 3, 4 and a Josephson junction 5between the two superconducting electrodes 3, 4. The two superconductingelectrodes 3, 4 are arranged as a circular inner superconductingelectrode 3 which is surrounded by a coaxial and coplanar circular outersuperconducting electrode 4. The Josephson junction 5 is arranged toextend radially between the two superconducting electrodes 3, 4. Thesuperconducting qubit 2 may be formed using micro-fabrication of lowloss superconducting materials, such as aluminium, on a low lossdielectric substrate, such as sapphire or silicon.

In order to control the quantum state of the superconducting qubit 2, acontrol line 6 is provided coaxially with the superconducting qubit 2.The control line 6 is arranged to radiate the superconducting qubit 2with microwaves in order to set the state of the superconducting qubit2.

On the other side of the superconducting qubit 2 is provided a readoutresonator 7 and a readout line 8, both of which are also arrangedcoaxially with the superconducting qubit 2. The readout resonator 7 isarranged to couple to the superconducting qubit 2 in such a way that itsresonant frequency is dependent on the state of the superconductingqubit 2. The readout line 8 is arranged to radiate the resonator 7 andmeasure the frequency shift of the resonator 7 and thus the state of thesuperconducting qubit 2 via the reflected microwave signal.

FIG. 2 shows schematically a group 10 of three of the building blocks 1as shown in FIG. 1, arranged in a straight line. The superconductingqubits 2 all lie in the same plane and thus can be formed on the samesubstrate. The resonators 7 can be formed on the reverse side of thesame substrate, or on a separate substrate. As will be shown withreference to FIG. 4, though not shown in FIG. 2, the outersuperconducting electrode 4 of each superconducting qubit 2 is connectedvia a capacitor to the outer superconducting electrode 4 of the nearestneighbouring qubit 2.

FIG. 3 shows schematically a group 20 of nine of the building blocks 1as shown in FIG. 1, arranged in a square array. The superconductingqubits 2 all lie in the same plane and thus can be formed on the samesubstrate. The resonators 7 can be formed on the reverse side of thesame substrate, or on a separate substrate. As will be shown withreference to FIG. 4, though not shown in FIG. 3, the outersuperconducting electrode 4 of each superconducting qubit 2 is connectedvia a capacitor to the outer superconducting electrode 4 of the nearestneighbouring superconducting qubit 2.

FIG. 4 shows schematically a plan view of the building blocks 1 shown inFIG. 3. As can be seen, the building blocks 1 are arranged in a squarearray with the outer superconducting electrode 4 of each superconductingqubit 2 being connected via a capacitor 9 to the outer superconductingelectrode 4 of the nearest neighbouring superconducting qubit 2.

In addition, to implement the quantum information processing systemincluding the building blocks 1 as shown in FIGS. 1 to 4, the systemwill include a number of standard control electronics (not shown), e.g.connected to the end of each of the coaxial cables, e.g. including thecontrol lines 6 and readout lines 8, as well as a suitable coolingsystem (not shown) required to keep the necessary components at asuperconducting temperature.

In operation the quantum information processing system 10 or 20 isprovided as part of a quantum computer, for example. The control lines 6apply a pulse of microwave radiation to their respective superconductingqubits 2, the length, phase and/or amplitude of which is used to controlthe state of the superconducting qubits 2, i.e. the state of the qubit,and perform single qubit operations. Multiqubit (e.g. two-qubit) quantumlogic operations are implemented in any desired manner, e.g. by applyingappropriate microwave pulses to the control lines 6, making use of thecapacitive or otherwise coupling between qubits. The quantum state ofthe superconducting qubits 2 is thus manipulated by a sequence ofquantum logic gates to perform computations using the quantuminformation processing system 10 or 20.

Once the computations have been performed, the readout resonators 7 areused to measure the state of their respective superconducting qubits 2,e.g. by measuring the amplitude and/or phase of a microwave signalapplied to readout lines 8, radiating the readout resonators 7 close totheir resonant frequency, which is dependent on the state of theirrespective superconducting qubit 2. The state of the superconductingqubits 2 after the computations have been performed can then be used todetermine the result of the computations.

FIG. 5 shows schematically a building block 21 for use in a quantuminformation processing system according to a further embodiment of theinvention. The building block 21 of this embodiment is similar to thebuilding block shown in FIGS. 1 to 4, i.e. it includes a superconductingqubit 22 having two superconducting electrodes 23, 24 that are arrangedas a circular inner superconducting electrode 23 which is surrounded bya coaxial and coplanar circular outer superconducting electrode 24.

The difference is that the superconducting qubit 22 comprises twoJosephson junctions 25, 26 which extend radially between the twosuperconducting electrodes 23, 24. This renders the superconductingqubit 22 flux tuneable, i.e. its transition frequency can be tuned byaltering the magnetic flux threading the two spaces between the twoelectrodes of the superconducting qubit 22.

The control line 27 is provided coaxially with the superconducting qubit22 and is able to provide magnetic flux control to the superconductingqubit 22. The readout resonator 28 and a readout line 29 are provided onthe opposite side of the superconducting qubit 22 and the readout line29 is also used as a control line for implementation of single qubitcontrol which, in the embodiment shown in FIG. 1, is achieved using thecontrol line 6.

As with the building block shown with reference to FIGS. 1 to 4, thebuilding block 21 of FIG. 5 is arranged as part of an array of buildingblocks to form a quantum information processing system.

The operation of the building block 21 shown in FIG. 5 (as part of aquantum information processing system) is similar to the building blockshown in FIGS. 1 to 4, i.e. the control line 27 is arranged to set thequantum state of the superconducting qubit 22 by applying a magneticflux to the superconducting qubit 22. The state of the building block 21(along with others in the quantum information processing system) is thenmanipulated and subsequently measured using the readout resonator 28 andreadout line 29.

Thus it will be appreciated that the building block and quantuminformation processing system of the present invention help tosignificantly reduce the electromagnetic coupling of the building blockto uniform electromagnetic fields compared to a superconducting qubithaving a linear geometry, because the superconducting electrodes of thesuperconducting qubit do not lie along a single direction. Thus thebuilding block is isolated effectively from the electromagneticenvironment, which helps to increase the coherence time of the qubit.

It will also be appreciated that by providing a building block for aquantum information processing system in which the control line andreadout element are arranged out of plane with respect to the plane ofthe two superconducting electrodes of the superconducting qubit, thetopology of a quantum information processing system comprising aplurality of building blocks is able to scale in the same way as thenumber of building blocks (qubits).

1. A method for quantum information processing, comprising: providing asuperconducting qubit, the superconducting qubit comprising a pluralityof superconducting electrodes that are coplanar and a dielectric betweensuperconducting electrodes of the plurality of superconductingelectrodes; and performing at least one of the following steps (i) or(ii): (i) using a control unit coupled to the superconducting qubit tocontrol a quantum state of the superconducting qubit; (ii) using areadout unit coupled to the superconducting qubit to measure a quantumstate of the superconducting qubit; wherein at least one of the controlunit or the readout unit is outside of a plane definable through thesuperconducting electrodes of the plurality of superconductingelectrodes.
 2. The method as claimed in claim 1, wherein the controlunit is coaxial with at least one superconducting electrode of theplurality of superconducting electrodes or the readout unit is coaxialwith at least one superconducting electrode of the plurality ofsuperconducting electrodes.
 3. The method as claimed in claim 1, whereinthe superconducting electrodes of the plurality of superconductingelectrodes are coaxial.
 4. The method as claimed in claim 1, wherein theplurality of superconducting electrodes is coaxial with at least one ofthe control unit or the readout unit, or wherein the control unit iscoaxial with the readout unit.
 5. The method as claimed in claim 1,wherein an outer superconducting electrode of the plurality ofsuperconducting electrodes comprises a ground plane.
 6. The method asclaimed in claim 1, wherein at least two superconducting electrodes ofthe plurality of superconducting electrodes are radially symmetric. 7.The method as claimed in claim 1, further comprising tuning a frequencyof the superconducting qubit.
 8. The method as claimed in any claim 1,wherein the control unit comprises a magnetic flux control line.
 9. Themethod as claimed in claim 1, further comprising controlling the quantumstate of the superconducting qubit using a universal control provided bythe control unit.
 10. The method as claimed in claim 1, wherein using acontrol unit to control the quantum state of the superconducting qubitcomprises applying a pulse of electromagnetic radiation to thesuperconducting qubit.
 11. The method as claimed in claim 1, furthercomprising inferring the quantum state of the superconducting qubit,wherein the readout unit comprises: a readout resonator coupled to thesuperconducting qubit; and a coaxial cable arranged to measure aresponse of the readout resonator.
 12. The method as claimed in claim 1,wherein the control unit and the readout unit are formed as a singleelement, and the method comprises performing both of the steps (i) and(ii).
 13. A method for quantum information processing, comprising:providing a plurality of superconducting qubits to form a quantuminformation processing system, wherein at least some superconductingqubits of the plurality of superconducting qubits are coupled to one ormore other superconducting qubits of the plurality of superconductingqubits, and wherein each superconducting qubit of the plurality ofsuperconducting qubits comprises a plurality of superconductingelectrodes that are coplanar and a dielectric between superconductingelectrodes of the plurality of superconducting electrodes; andperforming at least one of the following steps (i) or (ii): (i) using acontrol unit coupled to a superconducting qubit of the plurality ofsuperconducting qubits to control a quantum state of the superconductingqubit; (ii) using a readout unit coupled to a superconducting qubit ofthe plurality of superconducting qubits to measure a quantum state ofthe superconducting qubit; wherein at least one the control unit or thereadout unit is outside of a plane definable through the superconductingelectrodes of the plurality of superconducting electrodes.
 14. Themethod as claimed in claim 13, wherein the control unit is only coupledto a single superconducting qubit.
 15. The method as claimed in claim13, wherein the readout unit is only coupled to a single superconductingqubit.
 16. The method as claimed in claim 13, wherein one or moresuperconducting qubits of the plurality of superconducting qubits arecoupled to a nearest other superconducting qubit of the plurality ofsuperconducting qubits.
 17. The method as claimed in claim 13, whereinthe at least some superconducting qubits are coupled with the one ormore other superconducting qubits with a coupling comprising acapacitor.
 18. The method as claimed in claim 13, wherein thesuperconducting qubits of the plurality of superconducting qubits arearranged in an array.
 19. The method claimed in claim 13, furthercomprising operating a processing circuitry on one or moresuperconducting qubits of the plurality of superconducting qubits 20.The method as claimed in claim 19, further comprising implementing oneor more quantum logic gates using the processing circuitry.